Question

ChemActivity T10 Gibbs Energy as a Function of Temperature and Pressure 121 Model 2: Chemical Potential. For a pure phase, the chemical potential is given by where G is the molar Gibbs energy and n is the number of moles. Critical Thinking Questions 5. For a constant temperature process, what is the relationship between do, volume, and pressure? 6. A particularly useful relationship is that between G and volume and pressure for various systems at constant temperature. a) For condensed phases, V can be assumed to be constant over a small pressure interval. For this case, integrate your expression from CTO 5 from Gº to G and from pº to P to obtain a relationship describing how free energy for a condensed phase is related to volume and pressure at constant temperature. b) Combine the ideal gas law with your expression from CTO 5 and then integrate from Gº to G and from Pºto P to obtain an analogous relationship for n moles of an ideal gas at constant temperature.

Answer 1

Answer-5 and 1 the Gibb's free energy is with a energy associated Chemical reaction ical that reaction It is can be that can be us used to do work. the sum of it's enthalpy plus the product of the temperature and the entropy of the system - opo). G = H-TS i. The change of the free energy, el D A G = 4H - (TS) to con and we know, H = U+pv. G = U + PV - TS & From dG = du + pdv + vdp- Tas-SdT 11 1st law of thermodynamics bila du = dgn + dw = Tds-Pdv - THE du Trevor:) OOS ESF dG = vdp - Sat love it to ori For a process of const. temperature udG = vap G , to Answer-6 If we go from state-1, with free energy change state-2 with free energy G₂ by a reversible path, ... The change of free energy dG = GG, G-e = fag - judple from ideal gas equation, PV=nRT! from ideal for senery V MRT d AG = MRT x dp = nRT ln P2/ P

If the the gas initial state is the was at a pressure standard state in which poatm. Then, of or or, G₂ - G. = nRT ln P2/po G- Go = nRT ln P2/po G = G + ART ln P/ at we a const. temperatur